You and your three friends are going to the State Fair. It costs $3 for each ride and $5 per person to get into the fair. Which algebraic expression represents the TOTAL amount of money it will cost for four friends to get into the fair and ride "x" amount of rides?

1 answer

To find the total cost for four friends to get into the fair and ride "x" amount of rides, we can break down the costs into two parts: the entrance fee and the cost of the rides.

  1. Entrance Fee: Each person pays $5 to get into the fair. Since there are 4 friends, the total entrance fee is: \[ 4 \cdot 5 = 20 \]

  2. Cost of Rides: Each ride costs $3. If they ride "x" rides, the total cost for the rides will be: \[ 3 \cdot x \]

Now, we add both components together to form the total cost: \[ \text{Total Cost} = \text{Entrance Fee} + \text{Cost of Rides} = 20 + 3x \]

Thus, the algebraic expression that represents the total amount of money it will cost for four friends to get into the fair and ride "x" amount of rides is: \[ 20 + 3x \]